Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 863 · 40 questions

How to solve it (Spot the topic first): Read the question and name the topic: HCF/LCM, fractions, calendar, ratio, percentage, interest, average, equation or number theory. Use that lesson’s method; write small working on rough paper. Look at the options: rule out answers that are too big, too small or the wrong kind. Check your answer by working backwards when you can.

1. 1.If x/5 + 14 = 19, what is x? (a) 165 (b) 25 (c) 5 (d) 81
2. 2.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 67 (c) 16 (d) 59
3. 3.If 29 November is a Sunday, what day of the week is 18 December? (a) Thursday (b) Saturday (c) Sunday (d) Friday
4. 4.1/3 + 3/9 = ? (a) 5/9 (b) 1/3 (c) 7/9 (d) 2/3
5. 5.What is the remainder when 296 is divided by 6? (a) 1 (b) 3 (c) 4 (d) 2
6. 6.What is the smallest number you must add to 181 to make it divisible by 3? (a) 2 (b) 1
7. 7.If 7 pens cost ₹49, how much do 3 pens cost? (a) ₹45 (b) ₹21 (c) ₹28 (d) ₹147
8. 8.Today is Monday. What day of the week will it be after 26 days? (a) Monday (b) Friday (c) Saturday (d) Sunday
9. 9.What is the average of 70, 80, 69 and 53? (a) 70 (b) 67 (c) 69 (d) 68
10. 10.Every pair follows the same rule: 3 : 15, 8 : 20, 9 : 21. What is 6 : ? (a) 18 (b) 17 (c) 19 (d) 30
11. 11.If 4 notebooks cost ₹20, how much do 3 notebooks cost? (a) ₹20 (b) ₹19 (c) ₹15 (d) ₹60
12. 12.Every pair follows the same rule: 5 : 25, 7 : 49, 9 : 81. What is 2 : ? (a) 4 (b) 22 (c) 5 (d) 10
13. 13.Two bells ring every 20 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 140 min (b) 48 min (c) 4 min (d) 560 min
14. 14.If 6x + 23 = 83, what is x? (a) 9 (b) 10 (c) 11 (d) 60
15. 15.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 32 (b) 8 (c) 17 (d) 23
16. 16.Every pair follows the same rule: 6 : 23, 7 : 24, 9 : 26. What is 4 : ? (a) 22 (b) 23 (c) 20 (d) 21
17. 17.1.98 + 2.6 = ? (a) 2.24 (b) 4.58 (c) 4.68 (d) 4.48
18. 18.What is the smallest number you must add to 456 to make it divisible by 9? (a) 6 (b) 4 (c) 3 (d) 2
19. 19.9 workers can build a wall in 8 days. How many days will 3 workers take, working at the same speed? (a) 24 days (b) 14 days (c) 2 days (d) 25 days
20. 20.In how many years will ₹4500 earn ₹1350 simple interest at 10% per year? (a) 4 years (b) 6 years (c) 3 years (d) 2 years
21. 21.8 workers can build a wall in 11 days. How many days will 4 workers take, working at the same speed? (a) 7 days (b) 22 days (c) 15 days (d) 23 days
22. 22.4 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 23 days (c) 22 days (d) 9 days
23. 23.Which fraction is greater: 1/5 or 1/9? (a) 1/9 (b) 1/5 (c) They are equal
24. 24.What is the units digit of 8^59? (a) 4 (b) 6 (c) 2 (d) 8
25. 25.What is the smallest number of sweets that can be shared equally among 6 children or among 8 children, with none left over? (a) 24 (b) 48 (c) 14 (d) 25
26. 26.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 62? (a) 20 (b) 80 (c) 62 (d) 64
27. 27.What is the smallest number of sweets that can be shared equally among 12 children or among 28 children, with none left over? (a) 40 (b) 84 (c) 336 (d) 168
28. 28.What is the remainder when 333 is divided by 5? (a) 4 (b) 1 (c) 3 (d) 2
29. 29.What is the value of the digit 2 in 12.539? (a) 0.02 (b) 2 (c) 0.2 (d) 20
30. 30.If 13 May is a Tuesday, what day of the week is 1 June? (a) Sunday (b) Saturday (c) Monday (d) Tuesday
31. 31.What is the simple interest on ₹10000 at 10% per year for 5 years? (a) ₹5000 (b) ₹1000 (c) ₹15000 (d) ₹6000
32. 32.If 7x − 85 = 6, what is x? (a) 13 (b) 12 (c) 91 (d) 14
33. 33.The simple interest on ₹7000 for 2 years is ₹1120. What is the rate per year? (a) 8% (b) 7% (c) 9% (d) 16%
34. 34.What is the units digit of 4^15? (a) 5 (b) 4 (c) 3 (d) 6
35. 35.Which is the greatest: 0.052, 0.2, 0.21, 0.188? (a) 0.052 (b) 0.2 (c) 0.21 (d) 0.188
36. 36.What is the simple interest on ₹6500 at 9% per year for 2 years? (a) ₹585 (b) ₹1170 (c) ₹1755 (d) ₹7670
37. 37.Which is the greatest: 0.26, 0.051, 0.2, 0.157? (a) 0.26 (b) 0.051 (c) 0.2 (d) 0.157
38. 38.If 6x + 14 = 2x + 46, what is x? (a) 4 (b) 15 (c) 9 (d) 8
39. 39.A bag marked ₹340 is sold at a 20% discount. What is its selling price? (a) ₹68 (b) ₹272 (c) ₹320 (d) ₹408
40. 40.1.96 + 9.7 = ? (a) 11.56 (b) 2.93 (c) 11.66 (d) 11.76

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